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At the early iteratives, the mutation rate is bigger and the aim is to make particles to explore smaller and isolate region and to avoid the algorithm trapping to the local optimum. While the algorithm runs, the mutation rate will be decreased to reduce the disturbing to the particles. IPSO adopts a new method that congregates some neighboring individuals to form multiple sub-populations in order to lead particles to explore new search space. Additionally, our algorithm incorporates a mechanism with a simple and easy penalty function based on the largest distance between the particle and the boundary of the feasible region to handle constraint.

IPSO采用了一种新型的变异策略，变异概率随着算法的运行是动态变化的：在算法运行初期，变异概率大，其目的是使算法不但能够探测到目标空间中的孤立区域，而且避免搜索陷入局部极值；在算法运行后期，变异概率逐渐变小，以减少对粒子的扰动；算法通过将部分具有邻近距离的粒子聚集成核形成多子群引导种群中粒子的飞行；采用一个简单的基于粒子与可行域边界最远距离的罚函数处理约束的机制，使得算法高效实现。

This class of process had no close form of probability density function and finite second order moment.

与其他统计模型不同，α-稳定分布没有统一闭式的概率密度函数，其二阶及二阶以上统计量均不存在。

This class of process has no close form of probability density function and finite second order moments.

与其它统计模型不同，α稳定分布没有统一闭式的概率密度函数，其二阶及二阶以上统计量均不存在。

The propagation of cosh Gaussian beams through a first order paraxial optical system with rectanglar hard aperture is studied. By using the expansion of the rectangle function into a finite sum of complex Gaussian functions a closed form propagation equation of cosh Gaussian beams is derived.

对双曲余弦高斯光束通过有硬边光阑的一阶ABCD光学系统的传输进行了研究，采用将矩形域函数表示为复高斯函数叠加的技巧，推导出了解析的传输公式，在特殊情况下，该公式简化为在无光阑情况下的传输公式。

This is necessary as we too must become vegetarian in order to transcend our own fission thought-form within.

这是必要的，因为我们也必须变成素食者，以达到超越我们内在核裂变的思想形态的目的。

In order to design and operate an activated sludge wastewater treatment system efficiently, it is necessary to understand the role of the microorganisms to decompose the organic waste and to form a satisfactory floc, which is a prerequisite for the effective separation of the biological solids in the settler.

为了设计并运作一个活性污泥污水处理系统的效率，是要了解作用的微生物分解有机废弃物，组成一个令人满意絮，这是一个先决条件，有效地分离生物颗粒的定居。

In order to foreshadow the type of presentation required for computer use, data will be prepared in tabular form

为了显示一下使用计算机所需的表示方式，其中数据用表格形式列出。

First, we should do exercises everyday in order to form into a good habit.

第一，我们应该每天锻炼，这样能形成一个良好的习惯。

You should form a habit to arrange your things in order.

你应当养成习惯把你的东西整理好。

In order for the baby to eat the things he does not love, it is necessary to use his form can not choose to feed, or the food crumble on the porridge, the煎包dishes or make soft egg rolls.

为了让婴儿吃他不爱吃的东西，就必须用他无法选择的形式来喂，或者把食物弄碎放在粥里，或者做成软煎包菜蛋卷。

We have no common name for a mime of Sophron or Xenarchus and a Socratic Conversation; and we should still be without one even if the imitation in the two instances were in trimeters or elegiacs or some other kind of verse--though it is the way with people to tack on 'poet' to the name of a metre, and talk of elegiac-poets and epic-poets, thinking that they call them poets not by reason of the imitative nature of their work, but indiscriminately by reason of the metre they write in.

索夫农 、森那库斯和苏格拉底式的对话采用的模仿没有一个公共的名称；三音步诗、挽歌体或其他类型的诗的模仿也没有——人们把&诗人&这一名词和格律名称结合到一起，称之为挽歌体诗人或者史诗诗人，他们被称为诗人，似乎只是因为遵守格律写作，而非他们作品的模仿本质。

The relationship between communicative competence and grammar teaching should be that of the ends and the means.

交际能力和语法的关系应该是目标与途径的关系。